What is 1.10688 as a fraction?

Numbers can be represented in a variety of ways including percentages, decimals, and fractions. The ability to convert any number from one format to another is an important math skill to have. These skills are typically thought in fifth grade math and require an understanding of place values and Greatest Common Factor (GCF).

In this article, we teach those skills step by step while demonstrating how to convert decimal 1.10688 into a fraction.

Answer: 1.10688 as a fraction equals 110688/100000 or 3459/3125

Here is the solution for converting 1.10688 to a fraction:

Step 1:

First, we write 1.10688 as  
1.10688/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point. Remember the numerator is the top part of the fraction and the denominator is the bottom part!
1.10688/1
  =  
1.10688 x 100000/1 x 100000
  =  
110688/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 110688 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 110688 are: 1  2  3  4  6  8  12  16  24  32  48  96  1153  2306  3459  4612  6918  9224  13836  18448  27672  36896  55344  110688 
The factors of 100000 are: 1  2  4  5  8  10  16  20  25  32  40  50  80  100  125  160  200  250  400  500  625  800  1000  1250  2000  2500  3125  4000  5000  6250  10000  12500  20000  25000  50000  100000 
So for 110688 and 100000 that gives us a GCF value of: 32

Step 4:

For the last step we reduce the fraction. This just means writing the fraction in the simplest way. To do this we divide both the numerator and denominator by the GCF value we determined in step 3.
110688/100000
  =  
110688 ÷ 32/100000 ÷ 32
  =  
3459/3125


Good work! We have just walked through the steps on how to represent 1.10688 as a fraction.

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